What is an equitable interest under resulting trust?

In the context of property, resulting trusts generally arise when an individual has made a contribution to the purchase price but not intended as a gift in the absence of an express trust. As a result the legal owner of the property is presumed to be holding a share of the equitable interest in that property on trust for the contributor. This would be in proportion to the contribution amount (Dyer v Dyer/Gissing v Gissing)
Usually a contribution to the purchase price is obvious, but other occasions not. For example, does payment towards household bills count? This is an unsettled point of law.
Note in the case of a cohabiting couple, the Court now generally infers a constructive trust. Though similar, constructive trusts do not calculate equitable shares solely on the purchase price contribution.